6512731746752 has 252 divisors, whose sum is σ = 17245934501712. Its totient is φ = 2388161740800.

The previous prime is 6512731746709. The next prime is 6512731746779. The reversal of 6512731746752 is 2576471372156.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15458252 + ... + 15873972.

Almost surely, 2^{6512731746752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6512731746752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8622967250856).

6512731746752 is an abundant number, since it is smaller than the sum of its proper divisors (10733202754960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6512731746752 is a wasteful number, since it uses less digits than its factorization.

6512731746752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415796 (or 415758 counting only the distinct ones).

The product of its digits is 14817600, while the sum is 56.

The spelling of 6512731746752 in words is "six trillion, five hundred twelve billion, seven hundred thirty-one million, seven hundred forty-six thousand, seven hundred fifty-two".